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Simplifying 42 = -3(-5 + -4a) + -5(-8a + -1) 42 = (-5 * -3 + -4a * -3) + -5(-8a + -1) 42 = (15 + 12a) + -5(-8a + -1) Reorder the terms: 42 = 15 + 12a + -5(-1 + -8a) 42 = 15 + 12a + (-1 * -5 + -8a * -5) 42 = 15 + 12a + (5 + 40a) Reorder the terms: 42 = 15 + 5 + 12a + 40a Combine like terms: 15 + 5 = 20 42 = 20 + 12a + 40a Combine like terms: 12a + 40a = 52a 42 = 20 + 52a Solving 42 = 20 + 52a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-52a' to each side of the equation. 42 + -52a = 20 + 52a + -52a Combine like terms: 52a + -52a = 0 42 + -52a = 20 + 0 42 + -52a = 20 Add '-42' to each side of the equation. 42 + -42 + -52a = 20 + -42 Combine like terms: 42 + -42 = 0 0 + -52a = 20 + -42 -52a = 20 + -42 Combine like terms: 20 + -42 = -22 -52a = -22 Divide each side by '-52'. a = 0.4230769231 Simplifying a = 0.4230769231
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